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78度的正弦值大约

sin(75°) =sin(30°+45°) =sin30°cos45°+cos30°sin45° =(1/2)*(√2/2)+(√3/2)*(√2/2) =(√2+√6)/4 如果不懂,请追问,祝学习愉快!

sin6sin42sin66sin78=sin6cos12cos24cos48=cos6sin6cos12cos24cos48/cos6=sin12cos12cos24cos48/(2cos6)=sin24cos24cos48/(4cos6)=sin48cos48/(8cos6)=sin96/(16cos6)=cos6/(16cos6)=1/16

sin(75°) = 0.96592582628907

sin75°=0.965926

cos(45+30) =cos45sin30-cos30sin45 =2分之根号2 * 1/2 - 2分之根号3 * 2分之根号2 =(根号2-根号6)/4 sin(45+30) =sin45*sin30+cos45*cos30 =2分之根号2 * 1/2 + 2分之根号2 * 2分之根号3 =(根号2+根号6)/4 tan(45+30) =sin75/cos75 =(根号2+根号6)/(根号2-根号6)

sin0°=0 cos0°=1 tan0°=0 sin15°=(√6-√2)/4 cos15°=(√6+√2)/4 tan15°=sin15°/cos15°=2-√3 sin30°=1/2 cos30°=√3/2 tan30°=√3/3 sin45°=√2/2 cos45°=sin45°=√2/2 tan45°=1 sin60°=√3/2 cos60°=1/2 tan60°=√3 sin75°=cos15 ° cos75°=sin15 ° tan75°=sin75°/cos75° =2+√3

是的sin 75° = sin(45°+30°) =sin45°cos30° + cos45°sin30° = (√2/2)*(√3/2) + (√2/2)*(1/2) =(√2+√6)/4

sin8,查表可得

sin(α+β)=sinαcosβ+cosαsinβ sin75°=sin(30°+45°)=sin30°cos45°+cos30°sin45°

(根号6加上根号2)除以4

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